87696

Appears in sequences

• Expansion of (theta_3(z^4)^3 + theta_2(z^4)^3)^3.at n=35A028696
• (-1)-sigma super perfect numbers: (-1)sigma((-1)sigma(x))=2*x, where if x=Product p(i)^r(i) then (-1)sigma(x)=Product (-1+Sum p(i)^s(i), s(i)=1 to r(i)); (-1)sigma(1)=1.at n=4A051153
• A triangular sequence based on the first level sum of polynomial coefficients: p(x,n,m)=(1 - x)^(n + m + 1)*Sum[k^(n - 1)*(1 - k)^(m - 1)*x^k, {k, 0, Infinity}]/4.at n=30A168217
• Number of 8-step one space at a time bishop's tours on an n X n board summed over all starting positions.at n=10A187161
• Numbers with prime factorization pqr^3s^4.at n=30A190294
• a(n) = Pell(n)*A008655(n) for n>=1, with a(0)=1, where A008655 lists the coefficients in (theta_3(x)*theta_3(3*x)+theta_2(x)*theta_2(3*x))^4.at n=5A209448
• Imaginary part of (n + i)^4.at n=28A272871
• Integers m that satisfy tau(m) + omega(m) = #({phi(x) = m}).at n=36A305656
• a(n) = coefficient of x^(4*n+1)/(4*n+1)! in power series S(x) = Series_Reversion( Integral 1/(1 + x^4)^(3/2) dx ).at n=2A357804
• Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + x^2*log(1-x))^2 ).at n=7A376436
• Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows, where T(n,k) = (-1)^k * [m^k] (1/2^(m-n)) * Sum_{k=0..m} k^n * (-1)^m * 3^(m-k) * binomial(m,k).at n=51A383149